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On the eventual periodicity of with a period-five parameter

✍ Scribed by J. Feuer; K.T. McDonnell

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
199 KB
Volume
56
Category
Article
ISSN
0898-1221

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✦ Synopsis

In this paper, we will study the max difference equation, x n+1 = max 1

x n , A n x n-1 , when {A n } is a period-five sequence of real numbers greater than one. We will prove that every solution is eventually periodic with period twenty.

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We study the number of bifurcation points of x = F(t; x; ), where F is periodic in t, continuous, and locally Lipschitz continuous with respect to x, by assuming that the di erential equation has at most two periodic solutions for each ∈ R. Under some additional assumptions we prove that there are a